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Finding the Third Proportional to 72,345 and 156,763.50

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Solution

The third proportional to 72,345 and 156,763.50 is: 339,688.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,345 : 156,763.50 = 156,763.50 : x
  2. Step 2: Convert to fraction form
    72,345/156,763.50 = 156,763.50/x
  3. Step 3: Cross multiply
    72,345x = 156,763.50 × 156,763.50
  4. Step 4: Simplify right side
    72,345x = 24,574,794,932.25
  5. Step 5: Solve for x
    x = 24,574,794,932.25/72,345
  6. Step 6: Final answer
    x = 339,688.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.